Boundary estimation for a diffusion-reaction PDE driven by an unknown periodic input

Author

Chauvin, Jonathan

Author_Institution

Dept. of Engine Control, Inst. Francais du Petrole, Rueil-Malmaison, France

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

3412

Lastpage

3416

Abstract

In this paper, we design exponentially convergent observers for a class of parabolic partial differential equations (PDEs) driven by an unknown periodic input with only boundary sensing available. The problem is posed as a problem of designing an invertible coordinate transformation of the observer error system into an exponentially stable system. Observer gain (output injection function) is shown to satisfy a well-posed hyperbolic PDE. Moreover, the observer gains are obtained in closed form.

Keywords

observers; parabolic equations; partial differential equations; boundary estimation; boundary sensing; diffusion-reaction PDE; exponentially stable system; hyperbolic PDE; invertible coordinate transformation; observer error system; output injection function; parabolic partial differential equations; unknown periodic input; Automotive engineering; Diesel engines; Engine cylinders; Heat transfer; Inductors; Partial differential equations; Temperature control; Temperature measurement; Vehicle dynamics; Vehicles;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399797

Filename

5399797